8
Determine the area
of the shaded
region.
2 ft
7.6.4

5

Step-by-step explanation:

add the fractions. you have to find the common denominator, 100/150+30/150+15/150= 145 so 5

1/30 of 150=5

The caramel apples that are covered with sprinkles are 5.

Arithmetic operation is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots.

Now it is given that,

Olivia has 150 caramel apples.

Each caramel apple is covered with one topping.

• 2/3 of the caramel apples are covered with peanuts.

• 1/5 are covered with chocolate chips.

• 1/10 are covered with coconuts.

The rest are covered with sprinkles.

Let 'n' be the number of caramel apples are covered with sprinkles.

Thus,we can write

(2/3)*150 + (1/5)*150 + (1/10)*150 + n = 150

100 + 30 + 15 + n = 150

145 + n = 150

⇒ n = 150 - 145

⇒ n = 5

Thus, the caramel apples that are covered with sprinkles are 5.

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The complete question is,

Olivia has 150 caramel apples to sell. Each caramel apple is covered with one topping.

• 2/3 of the caramel apples are covered with peanuts.

• 1/5 are covered with chocolate chips.

• 1/10 are covered with coconuts.

The rest are covered with sprinkles.

How many caramel apples are covered with sprinkles?

Answer:

B)  x = 7,  y = 4[tex]\sqrt{2}[/tex]

Step-by-step explanation:

you can find the value of 'y' first by connecting the bases with another altitute measuring 4 units

you now have an isosceles triangle where each leg is 4 which makes the hypotenuse equal to 4[tex]\sqrt{2}[/tex]

to find 'x', it is the sum of 3 and 4

Answer:

$1672.5

Step-by-step explanation:

Answer:

625 is the sum of first 49 odd numbers.

Step-by-step explanation:

Add the all odd numbers between 1 - 49.

1+3+5+7+9+11+ 13+ 15+17+ 19+21+23+25+ 27+29+31+33+35+37+39+41+43+45+ 47+ 49 = 625

Answer:

Step-by-step explanation:

The formula for calculating the distance between two points is:

d

=

√

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

Substituting the values from the points in the problem gives:

d

=

√

(

4

−

−

4

)

2

+

(

17

−

2

)

2

d

=

√

(

4

+

4

)

2

+

(

17

−

2

)

2

d

=

√

8

2

+

15

2

d

=

√

64

+

225

d

=

√

289

d

=

17

Answer:

The t distribution is used, because we have the standard deviation for the sample.

Step-by-step explanation:

When to use the z or the t distribution?

When we have the standard deviation for the population, we use the z distribution.

When we have the standard deviation for the sample, we use the t distribution.

In this question:

We have the standard deviation for the sample, which means that the t distribution is used.

Answer:

y=-3x

Step-by-step explanation:

use the point slope formula to find the line parallel to -3x-y=1

Answer:

B) y = 3x+4

Step-by-step explanation:

A parallel line should include the same the same slope for it to be parallel

Answer:

a= 62.39

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Remember that the equation to graph a linear graph or line is y=mx+b

m is your slope and b is your y intercept. Since your line hits the y-axis at y=1, b=1.

Answer:

A dot plot is similar to histogram wherein they show the frequency of data. In this kind of plot, instead of bars, dots are stacked on their corresponding bin. The bins here are the number of pets, while the dots are the students. So, the 2 dots above number 3 signifies that, there are two students with three pets. The answer is A.

Step-by-step explanation:

Answer:

990 cars

Step-by-step explanation:

Find how many cars pass through at 6am, t=0:

r(0)= 300+600(0)-90(0²) = 300

Find how many cars pass through at 9am, t=3:

r(3)= 300+600(3)-900(3²)=300+1800-810=1290

Find the difference (how many cars pass between 6am and 9am): 1290-300=990

Answer:

12.5%

Step-by-step explanation:

change/original amount * 100= percentage change

3/24 * 100 = 12.5

Answer:

12

Step-by-step explanation:

Area of a triangle = [tex]A=\frac{bh}{2}[/tex]

Where b = base and h = height

The shown triangle has a base length of 3 cm and a height of 8 cm

Using these dimensions we plug in the values into the formula

[tex]A=\frac{3*8}{2} \\3*8=24\\\frac{24}{2} =12\\A=12[/tex]

Hence, the area of the triangle is 12 square centimeters

Answer:

12 centimeters^2

Step-by-step explanation:

We find the area of a triangle by multiplying the base and width of the triangle before dividing by 2

Why because if u put 2 triangles together you get a rectangle

3*8=24

24/2=12

Answer:

-31

Step-by-step explanation:

We are given with a function f(x) = - 4x - 11 , and we need to find f(5) . For which , we just have to put x = 5 in f(x) . So , by putting x = 5 , we have

[tex]{:\implies \quad \sf f(5)=-(4\times 5)-11}[/tex]

[tex]{:\implies \quad \sf f(5)=-20-11}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{f(5)=-31}}}[/tex]

Answer:

210 ways

Step-by-step explanation:

Given

[tex]n = 7[/tex] --- total

[tex]r = 3[/tex] --- selection

Required

In how many ways can be selection be done

Since orders does matter, then it is permutation.

This is calculated as:

[tex]^nP_r = \frac{n!}{(n-r)!}[/tex]

So, we have:

[tex]^7P_3 = \frac{7!}{(7-3)!}[/tex]

[tex]^7P_3 = \frac{7!}{4!}[/tex]

Solve each factorial

[tex]^7P_3 = \frac{7*6*5*4!}{4!}[/tex]

[tex]^7P_3 = 7*6*5[/tex]

[tex]^7P_3 = 210[/tex]

9514 1404 393

Answer:

  B) 124.96 ounces

Step-by-step explanation:

To find ounces, multiply the number of grams by the number of ounces in each gram.

  3550 × 0.0352 = 124.96 . . . ounces

Answer:

a)-3+2x=y

b)-3+2(-6)=y

y=-15

Step-by-step explanation:

hope i helped youu

Answer

b

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

whole numbers are higher than 10, nutural numbers are like 1 2 3 4 5 while integers are like fractions

Answer:

6/9

Step-by-step explanation:

really sorry if I'm wrong good luck!

Answer:

Since p-value > ∝, H0 is accepted

Step-by-step explanation:

Calculating gives the following results.

ANOVA Table

Source DF               Sum             Mean      F Statistic P-value

                                 of Square           Square

Groups     6         191.61                      31.935        0.020          0.999

(b/w groups)

Error

(within 14          21736.08                1552.577

groups)                                                                                                    

Total  20          21927.69 1096.385                                          

1. H0 hypothesis

Since p-value > ∝, H0 is accepted.

Hence the averages of all groups considered to be equal.

Or the difference between the averages of all groups is not big enough to reject H0.

2. P-value

P-value equals 0.999. This means that if we would reject H0, the chance of type1 error (rejecting a correct H0) would be too high i.e  (99.99%)

The bigger  p-value  supports H0.

3. The statistics

The test statistic F equals 0.020, which lies in the accepted range: [-∞ : 2.8477]

x = -3

So to figure this out we can readjust the equation to make it easier to solve

[tex]f(x) = x + 9[/tex] is equal to [tex]x+9 = 6[/tex]

From here we can just subtract 9 from both sides and we get our answer!

[tex]x+(9-9) = (6-9)\\x = -3[/tex]

Answer:

Part 1

a. Sum of Squares, Treatment= 61

b. Sum of Squares, Error= 7.5

c. Mean Squares, Treatment = 30.5

d. Mean Squares, Error= 0.5

2. the F value lies in the rejection region > 3.6823

3. The value of the test statistic = 61

4. The p-value is < 0.00001

5. Conclusion

Since p-value < α, H0 is rejected.

6. Between x`2 and x`3

7. Fisher's Least Significant Difference value almost 0.869

8.There is a significant difference between the means

Step-by-step explanation:

Summary of Data

                          Treatments

                       1             2             3                 Total

n                      6             6             6                   18

∑x                   42          57           30                  129

Mean              7            9.5           5                  7.167

∑x2              298         543        152                    993

Sd.D       0.8944     0.5477     0.6325           2.0073

ANOVA Table

Source                                  SS              df                  MS

Between-treatments           61              2                   30.5       F = 61

Error                                     7.5           15                     0.5

Total                                     6             8.5                     17

a. Sum of Squares, Treatment= 61

b. Sum of Squares, Error= 7.5

c. Mean Squares, Treatment = 30.5

d. Mean Squares, Error= 0.5

2. Using alpha= 0.05 the F value lies in the rejection region i.e F > 3.6823

x1` -x2`= 7-9.5= -2.5 Not significant as difference <3.68

x1`- x3`= 7-5= 2 Not significant as difference <3.68

x2` -x3`= 9.5-5= 4.5 Significant as difference > 3.68

3. The value of the F test statistic = 61

4. The p-value is < 0.00001

5. Conclusion

Since p-value < α, H0 is rejected.

6. Using alpha= .05, differences occurs between x2` and x3` as their difference is greater than 3.68

7. Fisher's Least Significant Difference value almost 0.869

Least Significant Difference= t( 0.025,15) √2s²/r s²= 0.50 r= 6 =n1=n2=n3

Least Significant Difference= 2.13 √ 2*0.50/ 6

=0.869

8.There is a significant difference between the means

x1` -x2`= 7-9.5= -2.5 Significant as difference > Least Significant Difference

x1`- x3`= 7-5= 2 Significant as difference > Least Significant Difference

x2` -x3`= 9.5-5= 4.5 Significant as difference > Least Significant Difference

Answer:

a. 0.56

b. 0.262

c. 672

Step-by-step explanation:

Confidence interval:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the result of the subtraction between these two bounds divided by 2.

a. The point estimate of the population proportion is

Mean of the bounds. So

(0.298 + 0.822)/2 = 0.56

b. The margin of error is

(0.822-0.298)/2 = 0.262

c. The number of individuals in the sample with the specified characteristic is

0.56 of 1200. So

0.56*1200 = 672

Answer:

A = 3

I hope it's helps you

Answer:

18 minutes

Step-by-step explanation:

900/250 is 3.6

3.6 * 5 = 18

Answer:

18 minutes

Step-by-step explanation:

Hi! Okay, let's get started!

Let's find her rate per minute first = 250/50 = 50 words per minute

Now, we need to find the time for 900 words, so we do 900/50, which gives you 18, or 18 minutes!

Hope that helps! :)

Answer:

(-8)x(-8)=64

Step-by-step explanation:

(-8)²

(-8)x(-8)=64

The repeated multiplication of (-8)² is -8 x (-8).

Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.

For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as 34, where 4 is the exponent and 3 is the base.

We know that exponents and power used to express powers.

like if we have 5³ then 5 is multiplied to itself 3 times.

Here we have (-8)² then we can write

(-8)²

= -8 x -8

= 8 x 8

= 64.

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Answer:

See below

Step-by-step explanation:

Below -0.5: -5.1, -2.5, -5.8

Between -0.5 and 2.9: 2.3, 2.5, -0.1

Above 2.9: 3, 5.2

Below -0.5: -5.1, -2.5, -5.8

Between -0.5 and 2.9: 2.3, 2.5, -0.1

Above -2.9: 3, 5.2